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Finding the Fourth Proportional to 9,607.89, 14,409.03 and 3,366.74

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Solution

The fourth proportional to 9,607.89, 14,409.03 and 3,366.74 is: 5,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,607.89 : 14,409.03 = 3,366.74 : x
  2. Step 2: Convert to fraction form
    9,607.89/14,409.03 = 3,366.74/x
  3. Step 3: Cross multiply
    9,607.89x = 14,409.03 × 3,366.74
  4. Step 4: Simplify right side
    9,607.89x = 48,511,442.11
  5. Step 5: Solve for x
    x = 48,511,442.11/9,607.89
  6. Step 6: Final answer
    x = 5,049.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.